Paper Citation Record · LEDGER

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework

As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.16047.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.16047 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:53:50.364831Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact1
verified fuzzy29
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 972d1531-e2ae-4697-b5d8-a863753bde55 · outbound

This paper cites On wasserstein two sample testing and related families of nonparametric tests.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework On wasserstein two sample testing and related families of nonparametric tests

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:57.854256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a7e2376e-0814-4f72-8d8b-5c08a52a92db · outbound

This paper cites An integrated transportation distance between kernels and approximate dynamic risk evaluation in Markov systems.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework An integrated transportation distance between kernels and approximate dynamic risk evaluation in Markov systems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:57.626721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f487d379-aedb-4637-9f52-6f99f77b7958 · outbound

This paper cites Fast dual subgradient optimization of the integrated transportation distance between stochastic kernels, 2023.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Fast dual subgradient optimization of the integrated transportation distance between stochastic kernels, 2023

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:57.410858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2652afad-8922-4e6f-8114-ed00f9ce4a89 · outbound

This paper cites Massey, Frank J.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Massey, Frank J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:57.241087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6de6f115-1b5c-428b-9301-8c70e0a2ac83 · outbound

This paper cites Mann and Donald R.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Mann and Donald R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:56.994908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4552832f-2a98-45cc-bf16-24bb56c33cf8 · outbound

This paper cites Wilcoxon.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Wilcoxon

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:56.711006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8763d6b3-11c2-40f9-9dd2-492056e49e5c · outbound

This paper cites Testing for equal distributions in high dimension.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Testing for equal distributions in high dimension

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:56.483474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c34307e5-ab52-4770-aa94-8bf05ecfaffe · outbound

This paper cites Borgwardt, Malte J.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Borgwardt, Malte J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:56.255646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 45ce8d3d-2a3e-4d3f-8b0a-e45fda5a01be · outbound

This paper cites Ball divergence: Nonparametric two sample test.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Ball divergence: Nonparametric two sample test

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:56.018421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 43e28af3-887d-48bf-9b3d-f9061a6f5b78 · outbound

This paper cites Robust multivariate nonparametric tests via projection averaging.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Robust multivariate nonparametric tests via projection averaging

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:55.761822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e135977c-faf3-4e0d-b5d6-8407176db930 · outbound

This paper cites Statistical inferences for complex dependence of multimodal imaging data.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Statistical inferences for complex dependence of multimodal imaging data

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:55.546955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e93c1706-391a-48bf-9326-afcca88273f3 · outbound

This paper cites Federated Nonparametric Hypothesis Testing with Differential Privacy Constraints: Optimal Rates and Adaptive Tests.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Federated Nonparametric Hypothesis Testing with Differential Privacy Constraints: Optimal Rates and Adaptive Tests

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T23:53:47.742299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6009a02d-8453-4485-9c6e-19f313fd41da · outbound

This paper cites Fully distributed sequential hypothesis testing: Algorithms and asymptotic analyses.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Fully distributed sequential hypothesis testing: Algorithms and asymptotic analyses

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:55.332084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5aa08920-963e-4929-8a43-c70e57d81628 · outbound

This paper cites Integrative high dimensional multiple testing with heterogeneity under data sharing constraints.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Integrative high dimensional multiple testing with heterogeneity under data sharing constraints

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:55.076180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 20f955a0-3715-4aa9-8fe4-6d0686d497f2 · outbound

This paper cites Optimal Transport: Old and New.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Optimal Transport: Old and New

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:54.918868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e9266570-df69-4618-87b9-3b014661c558 · outbound

This paper cites Rachev and Lutger Rüschendorf.Mass Transportation Problems: Volume I: Theory.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Rachev and Lutger Rüschendorf.Mass Transportation Problems: Volume I: Theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:54.792164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e880c90d-f9fb-40cf-844e-4f89fb588334 · outbound

This paper cites Central limit theorem for empirical transportation cost in general dimension.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Central limit theorem for empirical transportation cost in general dimension

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:54.559775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fe0fdc3d-1923-4165-8ef4-b3f7ba8e29e4 · outbound

This paper cites Fast dual subgradient optimization of stochastic kernels with application to forward-backward stochastic differential equations.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Fast dual subgradient optimization of stochastic kernels with application to forward-backward stochastic differential equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:54.368806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd643424-7a8d-4c51-b25f-ba62aae500b1 · outbound

This paper cites Stochastic kernel approximation by transportation distance method.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Stochastic kernel approximation by transportation distance method

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:54.200042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5805be08-276c-4c61-84bd-5fa63c28b116 · outbound

This paper cites The Integrated Transportation Distance Between Markov Kernels: Theory, Optimization, and Applications in Risk Evaluation and Machine Learning.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework The Integrated Transportation Distance Between Markov Kernels: Theory, Optimization, and Applications in Risk Evaluation and Machine Learning

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:53.884164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8e0febd9-2f91-4be2-a877-015dba089a58 · outbound

This paper cites Testing statistical hypotheses, volume 3.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Testing statistical hypotheses, volume 3

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:53.584751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 852f2768-59e5-41c2-a287-ab4c92df1436 · outbound

This paper cites Exact testing with random permutations.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Exact testing with random permutations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:53.295578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d1d9f139-8d05-46c6-9658-c61b24a96d5a · outbound

This paper cites Modeling and regionalization of china’s pm2.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Modeling and regionalization of china’s pm2

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:53.054011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 74fc16cc-bbcc-45cf-8ddd-08147217ed39 · outbound

This paper cites Sample complexity of sinkhorn divergences.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Sample complexity of sinkhorn divergences

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:52.831945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation eff5be9b-350a-421b-ac8c-edc68e5de81d · outbound

This paper cites Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:52.548402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6ac593d-76c0-4d36-a60f-229f0d0584c9 · outbound

This paper cites An improved central limit theorem and fast convergence rates for entropic transportation costs.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework An improved central limit theorem and fast convergence rates for entropic transportation costs

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:52.269135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 408320c5-540c-4efb-b9d7-c87db72c9431 · outbound

This paper cites MDVT: Enhancing Multimodal Recommendation with Model-Agnostic Multimodal-Driven Virtual Triplets.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework MDVT: Enhancing Multimodal Recommendation with Model-Agnostic Multimodal-Driven Virtual Triplets

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T23:53:49.613829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9345b2d-3dbb-4c50-af55-4d37a8ebf74f · outbound

This paper cites Mentor: multi-level self- supervised learning for multimodal recommendation.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Mentor: multi-level self- supervised learning for multimodal recommendation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:51.984513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5d4254dc-5f2b-4d54-8b05-9c4259eb28e7 · outbound

This paper cites AlignGroup: Learning and Aligning Group Consensus with Member Preferences for Group Recommendation.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework AlignGroup: Learning and Aligning Group Consensus with Member Preferences for Group Recommendation

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:51.638889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6e78c1f2-76d4-4f05-9d49-5a51a5a27c98 · outbound

This paper cites Towards Understanding Camera Motions in Any Video.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Towards Understanding Camera Motions in Any Video

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T23:53:49.976023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a1188d2-9481-499c-a8d4-91a4536c6a89 · outbound

This paper cites Multi-Cali Anything: Dense Feature Multi-Frame Structure-from-Motion for Large-Scale Camera Array Calibration.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Multi-Cali Anything: Dense Feature Multi-Frame Structure-from-Motion for Large-Scale Camera Array Calibration

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:53:50.663414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b70a0856-cb1e-48a4-bfa6-c52901079876 · outbound

This paper cites Fedcust: Offloading hyperparameter customization for federated learning.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Fedcust: Offloading hyperparameter customization for federated learning

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:51.217036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 201e94a8-346a-4c74-a712-981a27b10814 · outbound

This paper cites Enabling scalable and adaptive machine learning training via serverless computing on public cloud.

Leveraging Optimal Transport for Distributed Two-Sample Testing: An Integrated Transportation Distance-based Framework Enabling scalable and adaptive machine learning training via serverless computing on public cloud

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:53:50.875601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.